{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.301187Z",
     "start_time": "2020-07-02T18:09:25.033675Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from porousmedialab.batch import Batch\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.305120Z",
     "start_time": "2020-07-02T18:09:26.303015Z"
    }
   },
   "outputs": [],
   "source": [
    "tend = 0.05\n",
    "dt = 0.0001\n",
    "phi=0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.311401Z",
     "start_time": "2020-07-02T18:09:26.308713Z"
    }
   },
   "outputs": [],
   "source": [
    "bl = Batch(tend, dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.317416Z",
     "start_time": "2020-07-02T18:09:26.313190Z"
    }
   },
   "outputs": [],
   "source": [
    "C_init=0.0001/3\n",
    "bl.add_species(name='H2CO3', init_conc=0)\n",
    "bl.add_species(name='HCO3', init_conc=0)\n",
    "bl.add_species(name='CO3', init_conc=0)\n",
    "\n",
    "bl.add_acid(species=['H2CO3', 'HCO3', 'CO3'], pKa=[3.6, 10.32])\n",
    "\n",
    "bl.add_species(name='Ca', init_conc=0)\n",
    "bl.add_species(name='CaCO3', init_conc=0)\n",
    "\n",
    "\n",
    "bl.add_ion(name='Ca', charge=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.321082Z",
     "start_time": "2020-07-02T18:09:26.318671Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.constants['Ks_CaCO3'] = 3.3e-9\n",
    "bl.constants['k_pre'] = 1e-2\n",
    "bl.constants['k_dis'] = 1e-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.324798Z",
     "start_time": "2020-07-02T18:09:26.322453Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.rates['R_pre_CaCO3'] = 'k_pre * (Ca*CO3/Ks_CaCO3-1)'\n",
    "bl.rates['R_dis_CaCO3'] = 'k_dis * CaCO3 * (1 - Ca*CO3/Ks_CaCO3)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:26.328610Z",
     "start_time": "2020-07-02T18:09:26.326103Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.dcdt['CaCO3'] = 'R_pre_CaCO3 - R_dis_CaCO3'\n",
    "bl.dcdt['Ca'] = '-R_pre_CaCO3 + R_dis_CaCO3  +1e-2'\n",
    "bl.dcdt['CO3'] = '-R_pre_CaCO3 + R_dis_CaCO3 +1e-2'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:28.196721Z",
     "start_time": "2020-07-02T18:09:26.331789Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:09:26\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:00m:02s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:09:28\n"
     ]
    }
   ],
   "source": [
    "bl.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:29.347669Z",
     "start_time": "2020-07-02T18:09:28.198472Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nLXsPc//y99qWvzWnnNHHDUpnWGmlzzk3KOfUSFdPpRK4FMDMpgOrY7atBGabWYmZDQHKgTWx+wBzgGWdtO3Ij4ES4IqY02CSYT9Y+lbb04fPHDuYz1SMy3JEIpIp6SoqS4A6M1sO3AXcYma3mtll7r4NuJuwaDwL3ObudYQX2a82s0pgBnBPJ22PYWbnAjcAZwHPmtlzZvbJNOUnHVi1cS+/WrWlbfkfP346eXmRLEYkIpkUCYJOzxD1a9XV1UF5efK3uLZebM6l7nIiOQdBwGd/vIKV63cDcMkZx/PjL0ztsH1vp885Nyjn5FVVVVVVVFTE/eHW4EdJmedrdrYVlML8CP8wR2NSRHKNioqkRBAE3Pl0+xOIr5o6nomaI0Uk56ioSEo85ztYtTG8Ma8oP4+vXPSBLEckItmgoiI9FgQB/xEzT8o1509gzJDSLEYkItmioiI99tzaHazeHI5RLS7I48sXnpzliEQkW1RUpMfuX/Zu2+trzp/AqMElWYxGRLJJRUV6pHrrfp6v2QlAXgRumDUpyxGJSDapqEiPPPB8ey9lzpljGHfcgCxGIyLZpqIi3bb9QB2/jhk9f8Ns9VJEcp2KinTbIy+8R0Nz+IyvcyYM5dwJx2U5IhHJNhUV6Za6xmYeeXFD2/K8WSdlMRoR6S1UVKRblry6md2HwucHjR1ayiVnaN55EVFRkW4IgoD7Yy7Qz505kYJ8fSuJiIqKdMOf1+6gZvtBAAYW5XPVeeOzHJGI9BYqKpK02F7KZ8+bwOCSwixGIyK9iYqKJMW3HWDZ2+2DHefOnJjdgESkV1FRkaTEDna85IzRjB+mwY4i0k5FRRK282A9S1Ztbluep8GOInIUFRVJ2OKVm2hoCgc7ThmvwY4iciwVFUlIfWMzi1/a2LY8b9YkIpFIFiMSkd6oIB0HNbM84F5gClAPzHP3mpjtNwLzgSZgobs/YWYjgMVAKbAFmOvutfHaxhznZmC0uy+ILn8CuD3a9gF3/2k68stFv3l9G7sPNQJwwpAS5pw5OssRiUhvlJaiAlwBlLj7DDObDtwJXA5gZqOBm4CpQAnwvJk9Q1gMFrv7IjNbAMw3s0c7aJsH/BQ4H3g8etxC4C7gPOAQUGlmv3X3bR0FGQQBDQ0NSSfX2NiY9D59WRAEPLh8fdvyF84fT0tzEw3N2YspE3LtcwblnCvSmXO6Tn/NApYCuPsKwqLQahpQ6e717r4PqAEmx+4DPAVc3EnbEuBh4Lsxxy0Hatx9j7s3AM8Ds9OUX06pXLebmh21AAwoyufKirFZjkhEeqt09VQGA/tilpvNrMDdm+JsOwAMOWp9vHVt6919D/C0mV3XyXu2HqNDkUiEoqKiRHM6Rk/27UseWtF+LeWqqeMZMWRgFqPJvFz5nGMp59yQjpzT1VPZD5TFvk+0oMTbVgbsPWp9vHWx6xN5z87aSoLefv8Af167A4BIBK6fqduIRaRj6SoqlcClANFrKqtjtq0EZptZiZkNITxttSZ2H2AOsKyTtvFUA6eY2TAzKwI+CLyQ2rRyzwOV7YMdLz5tFBOGa7CjiHQsXUVlCVBnZssJL57fYma3mtll0QvndxMWjWeB29y9DlgIXG1mlcAM4J5O2h7D3RuBW4HfExaTB9x9c7y2kphdB+t5/JX2L+HcCyZkMRoR6QsiQRBkO4asqa6uDsrLy5Per/WOsf5+DvbuP77NfzyzFoAzTxjM4/OnUVxcnOWoMidXPudYyjk39DTnqqqqqoqKiqnxtmnwo8RV19jMwy+sb1u+/oIJGuwoIl1SUZG4fvPaFnYeDP+aGTOkRDM7ikhCVFTkGEEQHPE04msvmEihZnYUkQToN4Uco7JmF29tOwBAaWE+nztPF+hFJDEqKnKM+59/p+31VVPHMWSAZnYUkcQkNKLezL4FfAOoBSJA4O4npDMwyY6a7Qf4k7cPdpyrwY4ikoREH9NyFXCCu9emMxjJvgcq17e9vrj8eCaOyK1HsohIzyR6+ms9cDiNcUgvsPtQA49XbWpbnjdLvRQRSU6iPZUiYLWZtT5uJXD3a9IUk2TJ4hffoz46s+OZYwczbdKwLEckIn1NokXl+2mNQrKuvqmZh154r2153qyTNNhRRJKW6OmvV4G/JrxYfwVHPiBS+oHfvraVHQfqATh+cDGXnjUmyxGJSF+UaFF5ANgA3EZ4fWVRmuKRLAiCgPuPGuxYVKC7zUUkeYme/hru7v8Zfb3KzD6TroAk815Yt4vqrfuBcLDjNdM02FFEuifRP0dLo3PLY2bHA/npC0kyLbaX8pmKcQwdkDtPaxWR1Eq0p/K/geVm1jq74pfSF5Jk0rodB/njW9vblufOnJi9YESkz0uoqLj7M8BJZjbC3XemOSbJoAdjZ3YsH8VJIwdlMRoR6es6LSpmdo+7f8XMXgCC6DoA3P2C9Icn6bTnUAP/EzPY8YZZJ2UxGhHpD7rqqfxL9P8vAg0x6zUqrh9YvHIDdY3hYMfTxwxm+kn6WEWkZ7q6UB8xs1OB/yIcVV8MlAI/Tndgkl4NTS08tHx92/K82ZM02FFEeqyrnsp04GuAAT+JrmsBft/ZTmaWB9wLTAHqgXnuXhOz/UZgPtAELHT3J8xsBLCYsGhtAea6e22Sbf8O+Fw0xjvcfUmCX4ec88TrW9geHew4qqyYv56sh06LSM91WlTc/VfAr8zsUnd/MonjXgGUuPsMM5sO3AlcDhC9NfkmYCpQAjxvZs8AtwOL3X2RmS0A5pvZo0m0fTDa9gPAQGAVoKIShwY7iki6JHpL8W4z+zFQSDifygnufkkn7WcBSwHcfYWZTY3ZNg2odPd6oN7MaoDJ0X3uiLZ5Kvp6XRJt7wHeIywoAwl7K50KgoCGhoaumh2jsbEx6X16kxff3c0bW8LBjiWFeXzmnNFdfh36es7doZxzg3JOrUT/PL0beA4YQviLu6vbigcD+2KWm82soINtB6LHjV0fb11XbQE2Am8Cr0RjljgWvbCh7fUnzz6B4zTYUURSJNGeyl53f9TMPuru3zazP3fRvnWQZKs8d2/qYFsZsDdm/eE46xJpOwcYA7ROAvJ7M6t095UdBRmJRCgq6v4v1J7smy3v7jzEs9GZHQHmffDkpPLoizn3lHLODco5NRLtqQRmdgYwwMKBKqO7aF8JXAoQvaYS+1TjlcBsMysxsyFAObAmdh/CArEsybZ7CItMvbvXERaaoQnmlzMerHyXIAhfX3TaKE7WYEcRSaFEi8qtwBmEp5QWAz/sov0SoM7MlgN3AbeY2a1mdpm7b4seZxnwLHBbtAgsBK42s0pgBnBPkm2XAS8BK6KDNdcCzySYX07YW9vAL17WzI4ikj6RoPXP1k6Y2X+4+60ZiCejqqurg/Ly8qT3a72o3de6yz98bh3fX/oWAKeNLuOpr81OeGxKX825J5RzblDOyauqqqqqqKiYGm9boj2VcjPTqaQ+rKGphUXL228jnjdbMzuKSOoleqH+dGCnme0kfAZY4O4aLdeHPLl6K+/vDwc7jhhUzCemaGZHEUm9RIvKLHff2LpgZqelKR5JgyAIuO/5d9qWr51xIsUFmhJHRFKvq6cUnwmMBb5vZn9POPAxD/hX4Oz0hyepsPLd3azZHA52LC7I4/PTT8xyRCLSX3XVUzkOuBo4Hrgmuq6F8Lle0kfEPpLlU+eOY9jA3LkgKSKZ1dWzv5YBy8zsXHd/JUMxSQqt33mIZ6rfb1u+YdbE7AUjIv1eotdUhpvZk4QPdQTA3S9KT0iSSouWr28b7HihjeQDo8o630FEpAcSLSp3ATcTPltL+oh9hxt57OX2j2yeZnYUkTRLtKhscPc/pDUSSbn/XrmB2oZmIBzsOPMDw7MckYj0d4kWle1m9iPgVaJz1bv7TzrfRbKpsbmFRTEzO14/SzM7ikj6JVpUWm8f6upBktJLPLVmG1v31QEwYlARl03RWFURSb+EHtPi7t8hfDLwFsKHRX4/nUFJzwRBwH3L2gc7fmH6REoKNdhRRNIvoZ6Kmd0BjCN89HwD8A+Ec8FLL/Tye3t4fVM4h1lRQR6fnz4hyxGJSK5I9IGSs9z9i8BBd3+I9omwpBe6f1nMYMdzxjJiUHEWoxGRXJJoUSkwsxLCybrygeY0xiQ9sGFXLb9/c1vb8vWaM0VEMiiZcSpVwEjgxeiy9EIPLm+f2fGDp47k1OM12FFEMiehouLuvzCzFYR3f73v7hvSG5Z0x/66Rh57qX2w4w3qpYhIhiV0+svMbgdudveXgDvN7JvpDUu64+crN3IoOtjxlFGD+OApI7IckYjkmkSvqVzu7l8HcPcrgcvSF5J0R9NRgx3nzdZgRxHJvESLSouZFQGYWWES+0mGLH1jG5v3HgZg+MAiLj97bJYjEpFclOiF+h8Ba8xsNXAa8IPOGptZHuGcK1OAemCeu9fEbL8RmA80AQvd/QkzGwEsBkoJB1nOdffaJNvOAf4p+javAH/r7kGCOfZZQRDw05jbiP9m+oka7CgiWZHohfr7zew3wEnAOnff2cUuVwAl7j7DzKYDdwKXA5jZaOAmYCrho/SfN7NngNuBxe6+yMwWAPPN7NEk2t4H/BtwobvvNLNvACOAHR0FGQQBDQ0NiXwJjtDY2Jj0Pun0yoa9vLZxLwCF+RE+WzGmW3l1prflnAnKOTco59RK9EL92cB3CHsMPzCzB7rYZRawFMDdVxAWhVbTgEp3r3f3fUANMDl2H+Ap4OIk214ArCa8kWAZ4V1qHRaU/mTRC++1vb58yhgNdhSRrEn09Nci4B4Sn09lMLAvZrnZzArcvSnOtgPAkKPWx1vXVdsRwIeBs4GDhDNWvuDuazsKMhKJUFTU/al1e7JvqmzcXcvTb25vW573wZPTGldvyDnTlHNuUM6pkWhR2ebu9yVx3P1A7Ki7vGhBibetDNgbs/5wnHWJtN0FvOTu2wDM7C+EBabDotIfLFq+npboVaPZp4zgtNGDsxuQiOS0RIvK+ui1i9j5VJ7upH0l8Angseg1ldUx21YC340+9qWY8CGVa6L7XErYK5oDLEuybRVwZvQi/l5gOvDTBPPrkw7UNfLzmMGOeiSLiGRborcGFwMGXE34dOKru2i/BKgzs+WEj3S5xcxuNbPLoj2JuwkLwbPAbe5eBywErjazSmAGcE+SbXcQPj3594SPkvmlu69JML8+6ecvbeRgfdgB/MCoQXzolJFZjkhEcl0kCBK749bMzgROB9a6+6q0RpUh1dXVQXl5edL7td5Zlc1zsE3NLXzo355rG5vyvU+dxeempe8R970h50xTzrlBOSevqqqqqqKiYmq8bYne/fVVwlNJFwA/MbO/61YkkjJPv/l+W0EZNrCIT56jwY4ikn2Jnv66Bpjt7jcDM4HPpi8kSUTszI5/c/4EDXYUkV4h0aISab17y90bgdwbLdSLvLJhD69sCAc7FuXn8TczTsxyRCIioUTv/nrezP6H8IL5LMK7ryRL7n++/ZEsl519AqPKSrIYjYhIuy57Kmb2JcK7qh4kHGT4Z3f/+3QHJvFt2lPLU6u3ti1fP1O3EYtI79FpUTGzbwMfBQrd/XfAw8BFZva/MxCbxPFQzGDHmR8YzuknaLCjiPQeXfVU5gBXunstgLuvJ7xIr/lUsuBgfRP/vVIzO4pI79VVUTl49KPjoxfqD6QvJOnIYy9t5EB0sONJIwdy4amjshyRiMiRuioqh83spNgV0eV+P0dJb9PcEvDg8vYL9DfMmkRenmZ2FJHepau7v74J/MrM/gi8A0wALgGuTXdgcqRn3tzGxt3hYMehAwr51DnjshyRiMixOu2puPsbwGzCB0kOJJxNcaa7v5qB2CTGfbEzO55/IqVFGuwoIr1Pl+NUopNjPZyBWKQDqzbu5eX39gDhzI5f1GBHEemlEh1RL1kUO9jxE1NOYNRgDXYUkd5JRaWX27z3ME/GDHbUbcQi0pupqPRyDy9fT3N0tOOMk4ZzxglDshyRiEjHVFR6sUP1TSxeuaFtWb0UEentVFR6sV+8vJEDdeFgx0kjBnLRaRrsKCK9m4pKL9XcEvBA5fq25etnTtRgRxHp9VRUeqk/VL/Pht21AAwpLeTTFRrsKCK9X6LzqSTFzDtYMTEAAA3/SURBVPKAe4EpQD0wz91rYrbfCMwHmoCF7v6EmY0AFgOlwBZgrrvXJtM25r1/B/za3X+Ujvwy4f6YwY6fP38CA4rS8lGJiKRUunoqVwAl7j4DWADc2brBzEYDNxFOS3wJ8D0zKwZuBxa7e+sI/vnJtI1574XAsDTllRGvb9rLyvW7ASjIi/DFGROzG5CISILS9efvLGApgLuvMLOpMdumAZXuXg/Um1kNMDm6zx3RNk9FX69Lou1dZvYZoCW6rktBENDQ0JB0co2N6Z1N+ad/Wdf2+tKzRjOsNK9bcaZSunPujZRzblDOqZWunspgYF/McrOZFXSw7QDhjJKx6+Ot67StmZ0JXEPYi+mztu2r46k177ctz50xIYvRiIgkJ109lf1AWcxynrs3dbCtDNgbs/5wnHWJtP0iMBZ4FpgINJjZendf2lGQkUiEoqKi7mUIPdq3I4tffoem6GDH8ycN45yJI1L+Hj2Rjpx7O+WcG5RzaqSrqFQCnwAeM7PpwOqYbSuB75pZCVAMlANrovtcCiwinHFyWTJt3f37rW8QnQZ5W2cFpTc6VN/E4hffa1vWYEcR6WvSdfprCVBnZsuBu4BbzOxWM7vM3bcBdxMWjWeB29y9jvAC+9VmVgnMAO5Jpm2a8siox1/ZxP7oYMeJwwfwkfLjsxyRiEhyIkGQu5M4VldXB+Xl5Unv13rRPJVdx5aWgIvufI71u8KxKd+57AyuvWBiyo7fU+nIubdTzrlBOSevqqqqqqKiYmq8bRr82Ev88a3tbQVlcEkBn9FgRxHpg1RUeon7lr3T9vqa809kYLEGO4pI36Oi0gus2byPF99tH+x47QWa2VFE+iYVlV4gdmbHj08ew5ghpVmMRkSk+1RUsmzbvjp++9qWtmXdRiwifZmKSpY9/ML6tsGO0yYOY/K4odkNSESkB1RUsqi2oYmfvdg+s+P16qWISB+nopJFj7+ymX2Hwwe7TRg2gL86XYMdRaRvU1HJkpaWgAdiLtDPnTmRfM3sKCJ9nIpKlvzJt/PuzkMAlJUUcOXU8VmOSESk51RUsuS+mJkdr5k2gUEa7Cgi/YCKSha8sWUfL7yzC4D8vEivesaXiEhPqKhkQexgx0vPGsMJQzXYUUT6BxWVDNu+X4MdRaT/UlHJsIdfeI/G5nCw49QTj+Ps8RrsKCL9h4pKBh1uaOYRzewoIv2YikoG/fLVTeytDQc7jh9WykfPGJ3liEREUktFJUNaWoIjLtBfd8EkDXYUkX5HRSVD/rx2B+/siA52LC7gqqma2VFE+h8VlQy57/n2mR2vnjaespLCLEYjIpIeaRnGbWZ5wL3AFKAemOfuNTHbbwTmA03AQnd/wsxGAIuBUmALMNfda5NsewtwdfRtnnT376Qjv2RVb91PZU042DEvggY7iki/la5ng1wBlLj7DDObDtwJXA5gZqOBm4CpQAnwvJk9A9wOLHb3RWa2AJhvZo8m0fbXwOeB84EAWGZmS9z99Y6CDIKAhoaGpJNrbGxMqv1P/7Ku7fUlZxzPqIEF3XrfbEo25/5AOecG5Zxa6Tr9NQtYCuDuKwiLQqtpQKW717v7PqAGmBy7D/AUcHGSbTcCH3P3ZndvAQqBujTll7AdB+r57etb25bnzpiQxWhERNIrXT2VwcC+mOVmMytw96Y42w4AQ45aH29dp23dvRHYaWYR4N+AV919bWdBRiIRioqKupFeKJF9f171bttgx3MnDGXayaO6/X69QU++Xn2Vcs4Nyjk10tVT2Q+Uxb5PtKDE21YG7D1qfbx1XbXFzEqAn0XXfTlFuXRbXWMzj8TM7HjDrJOyGI2ISPqlq6hUApcCRK+prI7ZthKYbWYlZjYEKAfWxO4DzAGWJdM22kP5NfCau8939+Y05ZawJa9uZveh8NrJ2KGlXHKGZnYUkf4tXUVlCVBnZsuBu4BbzOxWM7vM3bcBdxMWjWeB29y9DlgIXG1mlcAM4J5k2hLeHPAhYI6ZPRf9NyNN+XUpCI4c7Dh35kQK8nUHt4j0b5EgCLIdQ9ZUV1cH5eXlSe/XeudWZ+cjn/PtXPfgSwAMKi5g+T9cxOA+PDYlkZz7G+WcG5Rz8qqqqqoqKiqmxtumP53TJLaXctXU8X26oIiIJEpFJQ182wGWvb0TCAc7zp05MbsBiYhkiIpKGtwf80iWj505mvHDBmQxGhGRzFFRSbEdB+r51aua2VFEcpOKSoo9suI9GppbADh7/FDOnXBcliMSEckcFZUUqmts5pEVR87sGIlozhQRyR0qKin061Wb2RUz2HHOmZrZUURyi4pKihw92PHaC07UYEcRyTn6rZciy97eydr3DwIwsCifz56npxGLSO5RUUmR+2J6KVdOHc+QUg12FJHco6KSAmvfP8Bf1u4AIBKB62fqNmIRyU0qKinwQEwv5ZLTRzNhuAY7ikhuUlHpoV0H6/nlq5vblm+YrV6KiOQuFZUeemTFBhqawsGOU8YNYeqJGuwoIrlLRaUH6hqb+a8V69uWr9dgRxHJcSoqPfCb17aw82A42HHMkBIuPWtMliMSEckuFZVuCoLgiAv0114wkUINdhSRHKffgt20/J3dvLXtAAADivL5nAY7ioioqHTXg8vbHxx5ZcU4hgzQYEcRkYJ0HNTM8oB7gSlAPTDP3Wtitt8IzAeagIXu/oSZjQAWA6XAFmCuu9f2tG068qvZcZC/vL0LCAc7ztVgRxERIH09lSuAEnefASwA7mzdYGajgZuAmcAlwPfMrBi4HVjs7rOBV4H5KWqbcg+9sKHt9V+VH8/EEQPT8TYiIn1OWnoqwCxgKYC7rzCzqTHbpgGV7l4P1JtZDTA5us8d0TZPRV+vS0HblzoKMggCGhoakk7ud6u3tb2+dvr4bh2jr2lsbMx2CBmnnHODck6tdPVUBgP7Ypabzaygg20HgCFHrY+3rrttU27UoLADdMFJw5h64tB0vIWISJ+Urp7KfqAsZjnP3Zs62FYG7I1ZfzjOup607VAkEqGoqCiZvAB4+PqprN68jwtPG0NxUX7S+/dl3fl69XXKOTco59RIV0+lErgUwMymA6tjtq0EZptZiZkNAcqBNbH7AHOAZSlqm3Kjyor5yGmjKM2xgiIi0pV0FZUlQJ2ZLQfuAm4xs1vN7DJ33wbcTVgIngVuc/c6YCFwtZlVAjOAe1LUVkREMiQSBEG2Y8ia6urqoLy8POn9Wi/M51J3WTnnBuWcG3qac1VVVVVFRcXUeNs0+FFERFJGRUVERFJGRUVERFJGRUVERFJGRUVERFImXYMf+4Ta2tqdVVVV73XdUkREYpzY0YacvqVYRERSS6e/REQkZVRUREQkZVRUREQkZVRUREQkZVRUREQkZVRUREQkZXJ6nEpHzCwPuBeYAtQD89y9Jmb7jcB8oAlY6O5PmNkIYDFQCmwB5rp7bcaD76bu5Byz7WZgtLsvyGzUPdPNz3kC8ADhz04E+JK7e8aD76Zu5jwa+BlQBGwFrsuh7+0PAj9z9/GZjbpnuvk5DwPW0j4P1RJ3/7/Jvrd6KvFdAZS4+wxgAXBn64boD9hNwEzgEuB7ZlYM3A4sdvfZwKuEH1hfknTOZlZqZo8Af5uNgFOgO5/zvxDO33MhcAfwvUwH3UPdyXkB8FD0e/tNcuB7O7ptPPB1oDDjEfdcd3I+F3jU3S+M/ku6oICKSkdmAUsB3H0FEDtvwDSg0t3r3X0fUANMjt0HeAq4OHPhpkR3ci4BHga+m+FYU6U7OX8d+F20TQHQ1yaC607OtwCPRP/6HQ+8n9mQeyzpnM2sBPgR8OVMB5si3fmcK4BzzezPZvYLMxvTnTdWUYlvMLAvZrnZzAo62HYAGHLU+tZ1fUnSObv7Hnd/OlMBpkF3ct7p7o1mZsC/A9/JTKgp052cAyCf8LTIhwmn8+5LuvPzfA/w7+6+OTMhplx3cn4L+Cd3/xDwK+A/u/PGKirx7QfKYpbz3L2pg21lwN6j1reu60u6k3Nf162czezDhD90X+hL11OiupWzuze6++nAlwh7p31Jsjk3ALOBfzKz54BhZvbfmQg0hbrzOT8L/Cm6bglwTnfeWEUlvkrgUgAzmw6sjtm2EphtZiVmNgQoJ/wLrm0fYA6wLHPhpkR3cu7rks45WlD+L/Axd3850wGnQHdyvjeaN4R/1bZkMuAUSDbnle5urdcWgN3ufnWmg+6h7vw83wd8OtrmI0BVd95YD5SMI+bOicmEd/jMJfyAatz9N9E7J75EWJTvcPfHzex44CHCqr8TuMbdD2UlgW7oTs4x+14HnNaH7/5K5nN+DSgGtkUP4+7eZy5cdzPn0wivLwSEBeUr7l6dlQS6oSff29H9t7n76AyH3SPd/JwnEd7ZGAEOEd4xtjXZ91ZRERGRlNHpLxERSRkVFRERSRkVFRERSRkVFRERSRkVFRERSRk9UFIkg8zsTsLHYYwGBgDvAI3AMnf/52zGJpIKuqVYJAv66tgeka6opyKSZWZ2IfC/3P1qM6sBlgOnED42YwjhAwDd3b8QfXLuTwgf5llH+Oj9jdmJXORYKioivctE4CLCeUt2A+cDXwXeMbOhhA+xvNvdnzKzjwD/Cnw+S7GKHENFRaR32eXuGwDM7JC7vxl9vY+wd3IW8C0z+ybh4zQashapSBy6+0ukd+nqIudbwDejDzqcD/xP2iMSSYJ6KiJ9y98BP4xOIlUKfC3L8YgcQXd/iYhIyuj0l4iIpIyKioiIpIyKioiIpIyKioiIpIyKioiIpIyKioiIpIyKioiIpMz/Bz43WuYUV4USAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_profiles()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:29.583408Z",
     "start_time": "2020-07-02T18:09:29.349260Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x7fae106b80d0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(bl.time, bl.CO3['concentration'][0]*bl.Ca['concentration'][0])\n",
    "plt.axhline(bl.constants['Ks_CaCO3'], c='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:29.642937Z",
     "start_time": "2020-07-02T18:09:29.585141Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.reconstruct_rates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:09:30.316936Z",
     "start_time": "2020-07-02T18:09:29.645069Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_rates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernel_info": {
   "name": "python3"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "nteract": {
   "version": "0.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
